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## Syllabus for

LMA019 - Linear algebra Owner: TIDSL
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Mathematics
Department: 11 - MATHEMATICAL SCIENCES

Teaching language: Swedish

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 Summer course No Sp 0114 Examination 7,5c Grading: TH 7,5c 29 Oct 2015 pm L, 04 Jan 2016 pm L, 15 Aug 2016 pm L

#### In programs

TIDSL PRODUCT DESIGN ENGINEERING, Year 1 (compulsory)
TIMAL MECHANICAL ENGINEERING, Year 1 (compulsory)
TIMEL MECHATRONICS ENGINEERING, Year 1 (compulsory)
TIEPL ECONOMICS AND MANUFACTURING TECHNOLOGY, Year 1 (compulsory)

#### Replaces

LMA018   Linear algebra

#### Eligibility:

In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

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#### Aim

The aim of the course is to give basic knowledge of complex numbers and linear algebra. The course will also give necessary prerequisites for mathematical treatment of technical problems in future profession and supply a good base for further studies.

#### Learning outcomes (after completion of the course the student should be able to)

• define basic concepts in linear algebra and basic concepts of complex numbers
• formulate, and in certain cases prove, fundamental theorems in linear algebra
• solve systems of linear equations by matrix methods
• find the rank of a matrix
• add, subtract and multiply matrices
• decide if a matrix is invertible and, if that is the case, find the inverse
• solve matrix equations
• apply the algebra of determinants
• apply Cramer's rule
• apply scalar and vectorial multiplication of vectors
• apply her/his knowledge of vectoralgebra to analytic geometry
• apply the method of least squares
• carry out calculations with complex numbers
• solve algebraic equations
• #### Content

Algebra. Trigonometry. Elementary logic. Real numbers. Complex numbers. Systems of linear equations. Matrices. Determinants. Vectors. Method of least squares.

Calculations with Matlab.

#### Organisation

The course includes lectures, tutorials, quizzes and homework.

#### Literature

Courselitterature is announced on the course webbpage before start.

#### Examination

Examination consists off computer exercises and  a final exam, grades TH.

Page manager Published: Thu 04 Feb 2021.